As odd as this may sound, I first saw "Your Face" on the Lifetime Channel as I was laying in a hospital room, recovering from major surgery. "Your Face" seemed to fit then and it seems to fit now and always.
Although Plympton had made several cartoons prior to "Your Face," this is the fist time we see the style his work is noted for: impossibly grotesque body deformations done for laughs, and funny, too. We watch and see everything that could possibly happen to the singer's head, including abstract reduction. All through the strange looking singer seems blissfully unaware of what's being done to him as he sings a song that is a perfect parody of the ballad and touching, as well.
As with later films, Plympton does little if anything to signal us if we should laugh, be horrified, or just creeped out. This sense of subtlety is what makes his films so enjoyable to me.
Although only three minutes long, this is a perfectly complete, self-contained masterpiece of animation.
Bill Plympton rules!